Answer:
The answer is 364. There are 364 ways of choosing a recorder, a facilitator and a questioner froma club containing 14 members.
This is a Combination problem.
Combination is a branch of mathematics that deals with the problem relating to the number of iterations which allows one to select a sample of elements which we can term "r" from a collection or a group of distinct objects which we can name "n". The rules here are that replacements are not allowed and sample elements may be chosen in any order.
Step-by-step explanation:
Step I
The formula is given as
[tex]C (n,r) = \frac{n}{r} = \frac{n!}{(r!(n-r)!)}[/tex]
n (objects) = 14
r (sample) = 3
Step 2 - Insert Figures
C (14, 3) = [tex](\frac{14}{3})[/tex] = [tex]\frac{14!}{(3!(14-3)!)}[/tex]
= [tex]\frac{87178291200}{(6 X 39916800)}[/tex]
= [tex]\frac{87178291200}{239500800}[/tex]
= 364
Step 3
The total number of ways a recorder, a facilitator and a questioner can be chosen in a club containing 14 members therefore is 364.
Cheers!
Please Help Look at photo for question.
Answer:
The second answer choice from the top
Step-by-step explanation:
The formula for the circumference of a circle is [tex]\pi \cdot d[/tex], where d is the diameter of the circle. In this case, this means that the circumference of the circle is [tex]17\cdot 3.14=53.38[/tex], or answer choice B. Hope this helps!
Answer:
C. 53.4cm
Step-by-step explanation:
Circumference= 2 x Pi x radius
53.38 or 53.4= 2 x 3.14 x 8.5
20 + 27x + 9x^2 = (?) (3x + 5)
Answer:
(3x + 4)
Step-by-step explanation:
9x²+27x+20 can be factored out to (3x + 4)(3x + 5)
what is the difference in minutes of median collection times before and after the well was installed
Answer:
25
Step-by-step explanation:
I did this trust me :D
Answer:
25
this will help you
You are exploring a career in nursing in the state of MA. The average hourly wage for RN is $33.37. You are planning to work 40 regular hours +8 hours overtime at time and a half every week. What were your weekly earnings be?
Answer:
$1,735.24
Step-by-step explanation:
"at time and a half" basically means 1.5
So, the overtime would be 1.5 times the normal hourly wage.
40 regular hours * $33.37 = $1334.8
8 overtime hours * (1.5 * $33.37) = $400.44
$1334.8 + $400.44 = $1735.24
So, the total weekly pay is $1735.24.
Area of triangles and trapezoids
Answer:
bh/2 and (top base+bottom base)/2
Step-by-step explanation:
first one for triangles and second one for trapezoids
I hope i'm right
For all real numbers b and c such that the product of
c and 3 is b, which of the following expressions repre-
sents the sum of c and 3 in terms of b ?
B. 3h + 3
C. 3(b + 3)
3
E. -
3
Answer:
E: b/3+3
Step by step:
3 C= b
C + 3 = b/3 + 3 (Adding 3 to both sides)
Answer: E: b/3 + 3
Hope this helps
Mario writes the equation (x+y)2=z2+4(12xy)(x+y)2=z2+4(12xy) to begin a proof of the Pythagorean theorem.
Use the drop-down menus to explain why this is a true equation.
Answer:
Step-by-step explanation:
( x + y ^)2 finds the area of the outer square by squaring its side length.
z² + 4( 1/2xy ) finds the area of the outer square by adding the area of the inner square and the four triangles.
Answer:
1) (x+y)^2
2) z^2+4(1/2xy)
Step-by-step explanation:
( x + y )^2 finds the area of the outer square by squaring its side length.
z² + 4( 1/2xy ) finds the area of the outer square by adding the area of the inner square and the four triangles.
1/16 x 6 then round to 2 decimal places.
Answer:
.38
Step-by-step explanation:
1/16 * 6 = 6/16
Divide the top and bottom by 2
3/8
.375
Round to 2 decimal places
.38
always sometimes or never
The Capacity of a container will ALWAYS be less than the containers Volume
Explain too
Answer:
sometimes
Step-by-step explanation:
cant explain because i dont know if im right
What is the area of the triangle 4,3,5
Please mark brainliest :]
Answer:
60
Step-by-step explanation:
first you have to multiply the the base times the height which in this problem its 4 and 3 then you get 12 area sq feet after all that you must multiply the width or 3rd number to get your finale answer that in this case is 60.
Question: 5 ( x +20)= 7x +30
Answer:35
Simplifying
5(x + 20) = 7x + 30
Reorder the terms:
5(20 + x) = 7x + 30
(20 * 5 + x * 5) = 7x + 30
(100 + 5x) = 7x + 30
Reorder the terms:
100 + 5x = 30 + 7x
Solving
100 + 5x = 30 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
100 + 5x + -7x = 30 + 7x + -7x
Combine like terms: 5x + -7x = -2x
100 + -2x = 30 + 7x + -7x
Combine like terms: 7x + -7x = 0
100 + -2x = 30 + 0
100 + -2x = 30
Add '-100' to each side of the equation.
100 + -100 + -2x = 30 + -100
Combine like terms: 100 + -100 = 0
0 + -2x = 30 + -100
-2x = 30 + -100
Combine like terms: 30 + -100 = -70
-2x = -70
Divide each side by '-2'.
x = 35
Simplifying
x = 35
Hope it helps. Please tell me if im correct
Answer:
35
Step-by-step explanation:
5 * X= 5x
5* 20=100
these are for the ones inside the pararenthesis
so....
5x + 100= 7x+30
subtract 30 from both sides
5x+100-30= 7x-30-30
5x+70= 7x
now we need the variable on one side
so we subtract 5x on both sides
5x-5x+70= 7x-5x
70= 2x
now we divide by 2 on both to isolate the variable
70/2= 2/2
35=x
that's ur answer
hope this helped :D
7) The senior classes at High School A and High School B planned separate trips to
Yellowstone National Park. The senior class at High School A rented and filled 2 vans
and 7 buses with 407 students. High School B rented and filled 1 van and 7 buses with
389 students. Every van had the same number of students in it as did the buses. How
many students can a van carry? How many students can a bus carry?
Answer:
Number of students in each van = 18
Number of students in each bus = 53
Step-by-step explanation:
Given: The senior class at High School A rented and filled 2 vans and 7 buses with 407 students.
High School B rented and filled 1 van and 7 buses with 389 students.
Also, every van and the van had the same number of students in it.
Solution:
Let x denotes number of students in each van and y denotes number of students in each bus.
According to the given information,
[tex]2x+7y=407\,\,\,(i)\\x+7y=389\,\,\, (ii)[/tex]
From (ii), put [tex]x=389-7y[/tex] in (i)
[tex]2(389-7y)+7y=407[/tex]
[tex]778-14y+7y=407\\778-407=7y\\7y=371\\y=\frac{371}{7}=53[/tex]
Put [tex]y=53[/tex] in [tex]x=389-7y[/tex]
[tex]x=389-7(53)\\=389-371\\=18[/tex]
Number of students in each van = 18
Number of students in each bus = 53
A line has a slope of 5 and passes through (4,2). Write an equation to represent this.
A) y=18x-5
B) y=3x-15
C) y=5x-18
D) y=5 +2x
Answer:
C
Step-by-step explanation:
Lamar has been given a list of 6 bands and asked to place a vote. His vote must have the names of his favorite and second favorite bands from the list. How many different votes are possible?
Answer:
30
He has 6 options for 1st place and 5 for second place. Multiply the two and you get 30
Hope this helps :)
Find the zeros of the function. Write the smaller solution first, and the larger solution second f(x)=(x+2)2-16 smaller x larger x
Answer:
The solutions are x = -6 or x = +2
Step-by-step explanation:
In this question, we are asked to get the series of the equation given. we can find this by equating what we have to zero
Mathematically, we proceed as follows;
(x +2)^2 -16 = 0
This can be rewritten as;
(x + 2)^2 - 4^2 = 0
we can then proceed to use the difference of two squares to finish this off
Thus, we have
(x + 2 + 4)(x + 2 - 4) = 0
(x + 6)(x-2) = 0
X + 6 = 0 or x-2 = 0
x = -6 or x = +2
what is the pythagorean identity
Answer:
The most common trigonometric identities are those involving the Pythagorean Theorem...
Step-by-step explanation:
The Pythagorean trigonometric identity, also called the fundamental Pythagorean trigonometric identity or simply Pythagorean identity is an identity expressing the Pythagorean theorem in terms of trigonometric functions..
What are the zeros of (fx) =x^2-10x+25
Answer:
Zero of the function f(x) is x = 5
Step-by-step explanation:
Given function is f(x) = x² - 10x + 25
For zeros or x-intercepts of this function,
Put f(x) = 0
x²- 10x + 25 = 0
x² - 2(5)x + 5² = 0
(x - 5)² = 0 [Since, a² - 2ab + b² = (a - b)²]
x = 5
Therefore, x = 5 will be the zero of the given function.
A rectangle has a height of 2x^4and a width of x^2+8x+15x
Answer:
2x⁶ + 16x⁵ + 30x⁴
Step-by-step explanation:
area of rectangle with height 2x⁴ and width x²+8x+15
area = height x width
2x⁴( x²+8x+15)
2x⁴( x²) +2x⁴(8x)+ 2x⁴(15)
2x⁴⁺² + 16x⁴⁺¹ + 30x⁴
2x⁶ + 16x⁵ + 30x⁴
the area of the rectangle in polynomial which is in standardised form is 2x⁶ + 16x⁵ + 30x⁴
Solve for h.
–2 − 10h = –11h − 20
｡☆✼★ ━━━━━━━━━━━━━━ ☾
-2 - 10h = -11h - 20
+ 2
- 10h = -11h - 18
+ 11h
h = -18
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Step-by-step explanation:
-2-10h=-11-20, take -10 to the other side.
-2= -1-20, take 20 to the other side.
-18=-1h
-ve and -ve is pos.
h=18
positive 18
CAN SOMEBODY GIVE A QUICK ANSWER
Answer:
A. 112
Step-by-step explanation:
3x+22+2x+8 = 180
5x+30 = 180
5x = 150
x= 30
3(30)+22 = 112
Is there anyone who can solve sequence tables.
Yes I can solve the sequence table
Give me any question you prefer
An element with a mass of 930 grams decays by 15.6% per minute. To the nearest tenth of a minute, how long will it be until there are 70 grams of the element remaining?
Answer:15.3
Step-by-step explanation:
My sister asked me what -7+8x7 is but I have too much homework and don't have time to check my answer can you guys answer for me plz?!
Answer:
49
Step-by-step explanation:
-7 + 8 x 7
order of operations says to do 8 x 7 first
-7 + 56
simple addition gets you to
49
Answer:
49
Step-by-step explanation:
-7+8x7
Use PEMDAS
first multiply 8 and 7 =56
then add -7 and +56
56-7 =49
I need to figure this out TODAY!!!!
Answer:
Hello, I think your answer is D, Third Move
Step-by-step explanation:
The table below shows the lowest temperature, in degrees Fahrenheit, on each of 5 days for a city. What is the Mean temperature, in degrees Fahrenheit, in the city for those 5 days?
Answer:
ion know bu heyyyyyy
Step-by-step explanation:
Answer:
94
Step-by-step explanation:
At their family's pizzeria, Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that. Lauren makes 11 pizzas in the first hour and 3 pizzas each hour after that. If the pizzeria is open for 6 hours, how many pizzas will they make in all?
Answer:
47 pizzas
Step-by-step explanation:
Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that.
If the number of hours after the first hour is represented as x, then the number of pizzas he makes after x hours is:
6 + 3x
Lauren makes 11 pizzas in the first hour and 3 pizzas each hour after that. Then:
11 + 3x
The pizzeria is open for 6 hours in all, that is, 5 hours after the first hour.
This means that:
x = 5
The total amount of pizzas that Dave and Lauren make is:
6 + 3x + 11 + 3x
=> 17 + 6x
Therefore, the total amount of pizza they make 5 hours after the first hour is:
17 + 6(5) = 17 + 30 = 47 pizzas
At a summer camp,the ratio of campers to adults is kept equivalent to 7:1 use equivalent ratios to complete the table
Answer:
Campers: 7, 14, 28, 42
Adults: 1,2,5,30
Step-by-step explanation:
The tabular representation of the ratio of campers to adults in the summer camp is given as follows -
CAMPERS : 7 14 21 28 . . . . 7n
ADULTS : 1 2 3 4 . . . . n
We have a summer camp in which the ratio of campers to adults is kept equivalent to 7:1 .
We have to complete the table using the equivalent ratios.
How can you find out the equivalent ratios of the ratio a : b ?To find the equivalent ratios of a : b, follow the simple rule -
[tex]a:b=\frac{a}{b}=\frac{a\times2}{b\times2} =\frac{a\times3}{b\times3} =\frac{a\times4}{b\times4} = ... =\frac{a\times n}{b\times n}[/tex]
In the question given -
[tex]a:b=\frac{7}{1}=\frac{7\times2}{1\times2} =\frac{7\times3}{1\times3} =\frac{7\times4}{1\times4} = ... =\frac{7\times n}{n\times n}[/tex]
Hence, we can write the equivalent ratios in the form of tables -
CAMPERS : 7 14 21 28 . . . . 7n
ADULTS : 1 2 3 4 . . . . n
To solve more question on ratios, visit the link below -
brainly.com/question/28026128
#SPJ2
On a map of a town, a school is located at (–6, 2) and a movie theater is located at (–6, –15). What is the distance from the school to the theater on the map?
Answer:
13 units
Step-by-step explanation:
Since the x-coordinates are the same, you can simply add the absolute value of the y-coordinates.
|2 + (-15)|
or
|2 - 15|
= 13
Therefore, the distance from the school to theater is 14 units.
Answer:
13 units
Step-by-step explanation:
on edge 2020
-2 1/2x + 3 1/6 = 5 2/3
PLEASE
Answer:
1/4
explanation:
i think not sure but i think its that
Answer:
x= −73/63
Step-by-step explanation:
try this
Which of the following represents 0.63 as a fraction in simplest form?
Answer:
63/100
Step-by-step explanation:
0.63 = 63/100